Period of a Pendulum The period of a perdolum can be found as: T = 21. where I = length of the pendulum 7 - acceleration due to gravity (i.e. the gravity field strength) T. = period (time for one oscillation) Experimental Procedure 1. wild a pendulum that is approximately 20-60 am in length. A pendulum consists of a piece of string (or a cord that is astacked to a mass at one end. The length of the pendulum is taken from where you will hold it. to the center of mass. Take a picture of your pendulum and include it in the lab report. (5 points) 2. nift the pendulum to a starting angle of about 20 degrees or less (accuracy not that important) . Using a timer, determine how long it takes for 5 complete swings. This allows you to loves the relative error of human reaction time. 3. Repeat this process 15 times, recording your results to the nearest jonth of a second. . Record your raw data in an excel workbook. Answer the following questions within that file. (5 points) 5. Describe this data set, using the terminology we have learned is this courec. (5 points) 6. Use excel to determine the following: :. The coefficient of variation. (3 points) b. Make a boxplot of the cate. Is it skewed? (5 points) C. The 90 percent confidence interval of the poried of your pendulum. (5 points] The 95 percent confidence interval of the acceleration due to gravity. (5 pointe) e. What sample size is needed to be 994 confident that your result. is accurate to within 0. 02 m/s ? (5 points) f. Conduct a formal hypothesis test to show that the acceleration due to gravity is 9.01 m/s . (use ( =0.05) (6 points) 9. Write a 200-word conclusion to comment on your results and identify ways to improve the experiment. (8 points) 7. As this lab is the final one of the semester, it. is worth 10t of your final grade. It is due April 22" a: 11:59 pm